Stability analysis of finite element methods for the acoustic wave equation with absorbing boundary conditions (part I)

被引：0

作者：

Shao, XM ^{[1
]}

Lan, XL ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 1999年 / 17卷 / 03期

关键词：

stability; finite element methods; wave equation; absorbing boundary conditions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In Part I and Part II of this paper initial-boundary value problems of the acoustic wave equation with absorbing boundary conditions are considered. Their finite element-finite difference computational schemes are proposed. The stability of the schemes is discussed and the corresponding stability conditions are given. Part I and Part II concern the first- and the second-order absorbing boundary conditions, respectively. Finally, numerical results are presented in Part II to show the correctness of theoretical analysis.

引用

页码：293 / 306

页数：14